Answer:
x = 1/7, -1
Explanation:
Solving by using the quadratic formula
7x^2 + 8x + 1 = 0
a = 7, b = 8, c = 1
x = (-b ± √b^2-4ac)/2a
x = (-8 ± √8^2-4·7·1)/2·7
x = (-8 ± √64-28)/14
x = (-8 ± √36)/14
x = (-8 ± 6)/14
If added:
x = (-2)/14
x = 1/7
If subtracted:
x = (-14)/14
x = -1
So the answers are x = 1/7 or x = -1